What is the Greatest Common Factor of 66627 and 66635?

Greatest common factor (GCF) of 66627 and 66635 is 1.

GCF(66627,66635) = 1

We will now calculate the prime factors of 66627 and 66635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66627 and 66635.

How to find the GCF of 66627 and 66635?

We will first find the prime factorization of 66627 and 66635. After we will calculate the factors of 66627 and 66635 and find the biggest common factor number .

Step-1: Prime Factorization of 66627

Prime factors of 66627 are 3, 11, 673. Prime factorization of 66627 in exponential form is:

66627 = 3² × 11¹ × 673¹

Step-2: Prime Factorization of 66635

Prime factors of 66635 are 5, 13327. Prime factorization of 66635 in exponential form is:

66635 = 5¹ × 13327¹

Step-3: Factors of 66627

List of positive integer factors of 66627 that divides 66627 without a remainder.

1, 3, 9, 11, 33, 99, 673, 2019, 6057, 7403, 22209

Step-4: Factors of 66635

List of positive integer factors of 66635 that divides 66627 without a remainder.

1, 5, 13327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66627 and 66635. The biggest common factor number is the GCF number.
So the greatest common factor 66627 and 66635 is 1.

Also check out the Least Common Multiple of 66627 and 66635